Pith Number

pith:QUZJAS3R

pith:2014:QUZJAS3RDY3I6N4GVOYAS52TKF

not attested not anchored not stored refs pending

Embedding calculus knot invariants are of finite type

Dev Sinha, James Conant, Robin Koytcheff, Ryan Budney

arxiv:1411.1832 v3 · 2014-11-07 · math.AT · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QUZJAS3RDY3I6N4GVOYAS52TKF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:21:00.770729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8532904b711e368f3786abb0097753516e49febe6732ff2a730343d22797ab63

Aliases

arxiv: 1411.1832 · arxiv_version: 1411.1832v3 · doi: 10.48550/arxiv.1411.1832 · pith_short_12: QUZJAS3RDY3I · pith_short_16: QUZJAS3RDY3I6N4G · pith_short_8: QUZJAS3R

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QUZJAS3RDY3I6N4GVOYAS52TKF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8532904b711e368f3786abb0097753516e49febe6732ff2a730343d22797ab63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c654628d8b6a8954e86b757ab7ce5fde26b567eaebd7ed008b539d71ecbd481",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2014-11-07T05:37:34Z",
    "title_canon_sha256": "88143b236dd5fd05e95c6adeaece63f0e2f6f46c5056cc782b6fbad6b79366d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1832",
    "kind": "arxiv",
    "version": 3
  }
}